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Finding the Fourth Proportional to 143, 214.14 and 77.80

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Solution

The fourth proportional to 143, 214.14 and 77.80 is: 116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143 : 214.14 = 77.80 : x
  2. Step 2: Convert to fraction form
    143/214.14 = 77.80/x
  3. Step 3: Cross multiply
    143x = 214.14 × 77.80
  4. Step 4: Simplify right side
    143x = 16,660.09
  5. Step 5: Solve for x
    x = 16,660.09/143
  6. Step 6: Final answer
    x = 116.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.